Now showing items 1-17 of 17

    • A compressible Lagrangian framework for the simulation of underwater implosion problems 

      Kamran, Kazem; Oñate Ibáñez de Navarra, Eugenio; Idelsohn Barg, Sergio Rodolfo; Rossi, Riccardo (Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), 2013)
      Book
      Open Access
      The development of efficient algorithms to understand implosion dynamics presents a number of challenges. The foremost challenge is to efficiently represent the coupled compressible fluid dynamics of internal air and ...
    • A robust updated lagrangian smooth particle hydrodynamics for fast solid dynamics 

      Refachinho de Campos, Paulo Roberto; Antonio Javier, Gil; Chun Hean, Lee; Huerta, Antonio; Giacomini, Matteo; Bonet Carbonell, Javier (Association for Computing Machinery (ACM), 2021)
      Conference lecture
      Restricted access - publisher's policy
      This paper introduces a new Incremental Updated Lagrangian Smooth Particle Hydrodynamics (SPH) computational framework in the form of a system of first order conservation laws. Specifically, the linear momentum conservation ...
    • Adapting Broyden method to handle linear constraints imposed via Lagrange multipliers 

      Rodríguez Ferran, Antonio; Huerta, Antonio (Wiley and Sons, 1999-09)
      Article
      Open Access
      Various non-linear equation solvers are adapted to handle linear constraints via the Lagrange-multiplier technique. This adaptation process turns out to be quite straightforward for Newton-Raphson methods and rank-two ...
    • Arbitrary Lagrangian-Eulerian methods 

      Donea, J; Huerta, Antonio; Ponthot, J -Ph; Rodríguez Ferran, Antonio (John Wiley & Sons, 2004-10)
      Part of book or chapter of book
      Restricted access - publisher's policy
      Aim of the present chapter is to provide an in-depth survey of arbitrary Lagrangian-Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical description and numerical implementation details. ...
    • Arbitrary Lagrangian–Eulerian methods 

      Donéa, Jean M.; Huerta, Antonio; Ponthot, Jean Philippe; Rodríguez Ferran, Antonio (Wiley, 2017-12-15)
      Part of book or chapter of book
      Restricted access - publisher's policy
      This chapter presents an overview of some computational methods for the analysis of problems in ship hydrodynamics. Attention is focused on the description of stabilized finite element formulations derived via a finite ...
    • Geometric Hamilton–Jacobi Theory 

      Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2006-04-21)
      Article
      Open Access
      The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi-Hamiltonian structure. The problem is formulated on the tangent bundle for Lagrangian systems in order to avoid the bias ...
    • Geometric mechanics and Hamilton-Jacobi theory 

      Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2017-01)
      Bachelor thesis
      Open Access
      A review of analytical mechanics in the language of differential geometry is given. The classical formulations of Newton, Lagrange and Hamilton are discussed in detail, with special interest in the Hamilton-Jacobi equation. ...
    • Lagrangian analysis of the northern stratospheric polar vortex split in april 2020 

      Curbelo Hernández, Jezabel; Mechoso, Carlos R.; Chen, Gang (2021-08-28)
      Article
      Open Access
      The present study examines the northern stratosphere during April 2020, when the polar vortex split into two cyclonic vortices during a winter-early spring period with the strongest ozone depletion on record. We investigate ...
    • Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems 

      Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2011-07-18)
      Research report
      Restricted access - confidentiality agreement
      Research paper
    • Membrane structures formed by low pressure inflatable tubes: new analysis methods and recent constructions 

      Oñate Ibáñez de Navarra, Eugenio; Marcipar, Javier (2007-02)
      Research report
      Open Access
      This paper shows applications of a recently developed thin shell element adequate for the analysis of membrane and inflatable structures. The element is a three node triangle with only translational degrees of freedom that ...
    • Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories 

      Román Roy, Narciso (2009)
      Article
      Open Access
      This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian ...
    • Preface 

      Huerta, Antonio; Rodríguez Ferran, Antonio (2004-10)
      Article
      Open Access
    • Simetries. Quantitats conservades i el Teorema de Noether 

      Shosheva, Ilka Spasova (Universitat Politècnica de Catalunya, 2016-09)
      Bachelor thesis
      Restricted access - author's decision
      L'objectiu d'aquesta memòria és presentar la relació entre simetries i quantitats conservades per un sistema dinàmic. L'existència de quantitats conservades (integrals primeres) facilita la integració d'un sistema físic. ...
    • Skinner-Rusk unified formalism for optimal control systems and applications 

      Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2007-05-15)
      Article
      Open Access
      A geometric approach to time-dependent optimal control problems is proposed. This formulation is based on the Skinner and Rusk formalism for Lagrangian and Hamiltonian systems. The corresponding unified formalism developed ...
    • The Fixed-Mesh ALE approach for the numerical approximation of flows in moving domains 

      Codina, Ramon; Houzeaux, Guillaume; Coppola Owen, Ángel H.; Baiges Aznar, Joan (2008-07-30)
      Article
      Open Access
      In this paper we propose a method to approximate flow problems in moving domains using always a given grid for the spatial discretization, and therefore the formulation to be presented falls within the category of ...
    • The multi-period incremental service facility location problem 

      Albareda Sambola, Maria; Fernández Aréizaga, Elena; Hinojosa, Yolanda; Puerto Albandoz, Justo (2009)
      Article
      Restricted access - publisher's policy
      In this paper we introduce the multi-period incremental service facility location problem where the goal is to set a number of new facilities over a finite time horizon so as to cover dynamically the demand of a given set ...
    • Transformaciones canónicas en sistemas hamiltonianos. Introducción a la teoría de Hamilton-Jacobi 

      Riera Torres, Ana (Universitat Politècnica de Catalunya, 2017-07)
      Bachelor thesis
      Restricted access - author's decision
      En esta memoria, tras hacer un repaso del formalismo lagrangiano y hamiltoniano de la mecánica, se estudian las transformaciones canónicas, que convierten cualquier sistema hamiltoniano en otro del mismo tipo y, por tanto, ...